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Finding the Fourth Proportional to 715.05, 1,072.68 and 276.29

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Solution

The fourth proportional to 715.05, 1,072.68 and 276.29 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.05 : 1,072.68 = 276.29 : x
  2. Step 2: Convert to fraction form
    715.05/1,072.68 = 276.29/x
  3. Step 3: Cross multiply
    715.05x = 1,072.68 × 276.29
  4. Step 4: Simplify right side
    715.05x = 296,365.39
  5. Step 5: Solve for x
    x = 296,365.39/715.05
  6. Step 6: Final answer
    x = 414.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.